Final answer:
To simplify the given expressions, you can use different methods. For the first expression, you can use the distributive property to multiply each term. For the second expression, you can use the formula for squaring a binomial. Lastly, in response to the third question, you can rate your knowledge level.
Step-by-step explanation:
1. (3x - 2)(x² + 2x - 3)
To simplify this expression, you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses:
(3x)(x²) + (3x)(2x) + (3x)(-3) + (-2)(x²) + (-2)(2x) + (-2)(-3)
This simplifies to:
3x³ + 6x² - 9x - 2x² - 4x + 6
Combining like terms, we get:
3x³ + 4x² - 13x + 6
2. (x + 5)²
To simplify this expression, you can use the formula for squaring a binomial:
(x + 5)² = x² + 2(5)(x) + 5²
This simplifies to:
x² + 10x + 25
3. Assess your knowledge.
I feel confident in my knowledge about simplifying algebraic expressions. I would rate my knowledge level as a 4, which means very knowledgeable.